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Finding the Third Proportional to 228.38 and 483.19

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Solution

The third proportional to 228.38 and 483.19 is: 1,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.38 : 483.19 = 483.19 : x
  2. Step 2: Convert to fraction form
    228.38/483.19 = 483.19/x
  3. Step 3: Cross multiply
    228.38x = 483.19 × 483.19
  4. Step 4: Simplify right side
    228.38x = 233,470.16
  5. Step 5: Solve for x
    x = 233,470.16/228.38
  6. Step 6: Final answer
    x = 1,022.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.